Atkin-Lehner |
2- 3- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
106134cx |
Isogeny class |
Conductor |
106134 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
-14191107728364 = -1 · 22 · 34 · 72 · 197 |
Discriminant |
Eigenvalues |
2- 3- -1 7- -5 6 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,5949,41229] |
[a1,a2,a3,a4,a6] |
Generators |
[258:4203:1] |
Generators of the group modulo torsion |
j |
10100279/6156 |
j-invariant |
L |
11.849784634781 |
L(r)(E,1)/r! |
Ω |
0.43331852143202 |
Real period |
R |
0.85458098548547 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000020589 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106134bo1 5586c1 |
Quadratic twists by: -7 -19 |